LCM of 380, 216, 120, 154, 284
Reviewed By : Rajashekhar Valipishetty
Last Updated at : Mar 29,2023
Find the LCM of 380, 216, 120, 154, 284 with the LCM of Two or More Numbers Calculator. Here we are teaching you two different methods through which you can calculate the LCM of 380, 216, 120, 154, 284. So, keep reading to learn more.
Given numbers are 380,216,120,154,284
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 380,216,120,154,284 is 112182840.
Find LCM of 380,216,120,154,284 with Prime Factorization
| 2 | 380, 216, 120, 154, 284 |
| 2 | 190, 108, 60, 77, 142 |
| 2 | 95, 54, 30, 77, 71 |
| 3 | 95, 27, 15, 77, 71 |
| 5 | 95, 9, 5, 77, 71 |
| 19, 9, 1, 77, 71 |
Multiply the prime numbers at the bottom and the left side.
2 x 2 x 2 x 3 x 5 x 19 x 9 x 1 x 77 x 71 = 112182840
Therefore, the lowest common multiple of 380,216,120,154,284 is 112182840.
LCM formula is LCM(a1, a2, an) = (a1 x a2 x an)/{GCF(a1 x a2 x an) x common factors}
Firstly, we have to find the product of all the numbers.
380 x 216 x 120 x 154 x 284 = 430782105600
Then, let us find the GCF of these five numbers. To do so, we have to list down the factors for each number and choose the highest factor that is in all of the lists.
380 : 1, 2, 4, 5, 10, 19, 20, 38, 76, 95, 190, 380
216 : 1, 2, 3, 4, 6, 8, 9, 12, 18, 24, 27, 36, 54, 72, 108, 216
120 : 1, 2, 3, 4, 5, 6, 8, 10, 12, 15, 20, 24, 30, 40, 60, 120
154 : 1, 2, 7, 11, 14, 22, 77, 154
284 : 1, 2, 4, 71, 142, 284
2 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 380,216,120,154,284, is 2.
Now, the common factors can be found like this.
380:2x 2x 5x 19
216:2x 2x 2x 3x 3x 3
120:2x 2x 2x 3x 5
154:2x 7x 11
284:2x 2x 71
From this, we can see that the common factors because they appear for more than two numbers. So, just multiply them all together.
2x 2x 2x 2x 2x 2x 2x 3x 5 = 1920
Therefore, the value for common factors is 1920.
Now that we have all the elements of the formula, we can plug them in to calculate the LCM.
LCM(a1, a2, an) = (a1 x a2 x an)/{GCF(a1 x a2 x an) x common factors}
LCM = 430782105600/(2x1920)
LCM = 430782105600/3840
LCM = 112182840
Thus, we can understand that the LCM of 380,216,120,154,284 is 112182840.
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FAQs on LCM of 380, 216, 120, 154, 284
1. What is the LCM of 380, 216, 120, 154, 284?
Answer: LCM of 380, 216, 120, 154, 284 is 112182840.
2. How to calculate the LCM of 380, 216, 120, 154, 284?
The LCM can be found using two methods. You can either use the LCM formula or the prime factorization method to calculate the LCM of 380, 216, 120, 154, 284.
3. What is the LCM formula?
The LCM formula is LCM(a1, a2, an) = (a1 x a2 x an)/{GCF(a1 x a2 x an) x common factors}.